(A) Find the Number C Whose Existence Is Guaranteed by the Mean

question 70

Essay

(a) Find the number c whose existence is guaranteed by the Mean Value Theorem for Integrals for the function f on [a, b], and (b) sketch the graph of f on [a, b] and the rectangle with base on [a, b] that has the same area as that of the region under the graph of f.
f (x) = x² + x; [0, 1]

---

Definitions:

Cash Equivalent

Short-term, highly liquid investments that are readily convertible to known amounts of cash and have original maturities of three months or less.

Net Realizable Value

The estimated selling price in the ordinary course of business minus any costs of completion, disposal, and transportation.

Historical Cost

The original monetary value of an asset or transaction, without adjustments for inflation or other factors.

Valuation Method

The approach used to assess the value of an asset, liability, or a business, which can be based on market, income, or cost factors.